2KMnO4 + 3H2SO4 →K2SO4 + 2MnSO4 + 3H2O + 5O
\(\overset{COOH}{\underset{COOH}|}+O\) → 2CO2 + H2O]x5
\(\overset {+7} {2KMnO_4}+ 3H_2SO_4 + \overset{+3}{\overset{5\,COOH}{\underset{+3COOH}|}}\)
→ K2SO4 + \(\overset {+2}{2MnSO_4} + \overset {+4}{10CO_2} + 8H_2O\)
Change of oxidation state of Mn = 5
∴ Normality of KMnO4 = molarity x n
= 0.1 x 5
= 0.5 N
Change of Oxidation carbon in oxalic acid = 2
∴ Normality of Oxalic acid = 0.2 M x 2 = 0.4 N
Using Normality equation
(N1V1) KMnO4 = (N2V2) oxalic acid
= V1 x 0.5 N = 0.4N x 40 ml
= V1 = \(\frac {0.4N x 40ml}{0.5}\)
= V1 = 32 ml
Hence, 32 ml of 0.1 M KmnO4 required to complete oxidation of 40 ml of 0.2 oxalic acid.